Evaluate:
∫ (1 / cosec x) dx
Evaluate:
∫ (1 / cosec x) dx
Aniket Singh , 7 Months ago
Grade
12 grade maths others> Evaluate:∫ (1 / cosec x) dx...
1 AnswersAskiitians Tutor Team
To evaluate the integral ∫ (1 / cosec x) dx, we first rewrite the integrand. The cosecant function is defined as:
Understanding Cosecant
cosec x = 1 / sin x
Thus, we can express the integrand as:
Rewriting the Integral
1 / cosec x = sin x
This means our integral becomes:
Integral Transformation
∫ (1 / cosec x) dx = ∫ sin x dx
Calculating the Integral
The integral of sin x is a standard result:
- ∫ sin x dx = -cos x + C
Final Result
Therefore, the evaluated integral is:
-cos x + C
Approved Last Activity: 7 Months ago
LIVE ONLINE CLASSES
Prepraring for the competition made easy just by live online class.
Full Live Access
Study Material
Live Doubts Solving
Daily Class Assignments
Other Related Questions on 12 grade maths others
Using first principle, find the derivative of loge x where x ∈ (0, ∞).
Using first principle, find the derivative of loge x where x ∈ (0, ∞).
Grade 12 > 12 grade maths others
1 Answer Available
Last Activity: 7 Months ago
Find the rank of the matrix A = ⎡ 2 3 7 ⎤
⎣ -2 4 1 ⎦
⎢ -3 -1 ⎥ by reducing into echelon form.
Find the rank of the matrix A = ⎡ 2 3 7 ⎤
⎣ -2 4 1 ⎦
⎢ -3 -1 ⎥ by reducing into echelon form.
Grade 12 > 12 grade maths others
1 Answer Available
Last Activity: 7 Months ago
For x∈(−1,1)], the number of solutions of the equation arcsin x = 2 arctan is equal to ____.
For x∈(−1,1)], the number of solutions of the equation arcsin x = 2 arctan is equal to ____.
Grade 12 > 12 grade maths others
1 Answer Available
Last Activity: 7 Months ago
Prove the following: cosA + sinA cosA - sinA - cosA - sinA cosA + sinA = 2 tan 2A
Prove the following: cosA + sinA cosA - sinA - cosA - sinA cosA + sinA = 2 tan 2A
Grade 12 > 12 grade maths others
1 Answer Available
Last Activity: 7 Months ago
Which of the following is a null set:
- A {0}
- B {x: x > 0 or x < 0}
- C {x: x² = 4 or x = 3}
- D {x: x² + 1 = 0, x ∈ R}
Which of the following is a null set:
- A {0}
- B {x: x > 0 or x < 0}
- C {x: x² = 4 or x = 3}
- D {x: x² + 1 = 0, x ∈ R}
Grade 12 > 12 grade maths others
1 Answer Available
Last Activity: 7 Months ago